Integrate ∫1/(x+xlog(x)) dx

1st way: exp ∫(e^x)/x (1+x log(x)) dx

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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.

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Swinburne U 2nd way: e^(-e^x) e^x dx

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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...

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Pantun Melayu [Buah cempedak di luar pagar]

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count quick review: Permutation vs Combination

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Review: Linear form, Quadratic form & Bilinear form

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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Pantun Melayu [Pulau Pandan Jauh Ke Tengah]

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prob stat: For the sample shown in the freq distribution table, what is the mode?

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AP Calculus: log ∫√x(√√x) da

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Lamar U: trig integral ∫cos^5(2t) sin^2(2t) dt

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2 ways: ¬p→q ≡ p∨q

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2nd/2ways: count perm Show P(n,n)=P(n,n-1)

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2 ways: trig Show tan(2x)=2/(cot(x)-tan(x))

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1st/3 ways: Show 1+2+3+...+n=n(1+n)/2 via picture

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Mohammad Ali Jinnah University: Integrate the followings.

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Conversion: Permutation - Combination vice versa

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examples 2x2 matrix withOUT an inverse

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1st way: count values nPn, nP(n-1), nP(n-2)

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